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Find the expression that is equilvelent

Find the expression that is equilvelent-example-1

2 Answers

6 votes

(-18a^(-2)b^5)/(-12a^(-4)b^(-6))=(18:6)/(12:6)\cdot a^(-2-(-4))b^(5-(-6))=(3)/(2)\cdot a^(-2+4)b^(5+6)=(3a^2b^(11))/(2)



Used:\\\\a^n:a^m=(a^n)/(a^m)=a^(n-m)
User Can Karabag
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7 votes
For this case we have the following expression:
-18a ^ -2b ^ 5 / -12a ^ -4b ^ -6
For power properties we have:
-18a ^ (- 2 - (- 4)) b ^ (5 - (- 6)) / - 12
Rewriting we have:
18a ^ (- 2 + 4) b ^ (5 + 6) / 12
3a ^ (- 2 + 4) b ^ (5 + 6) / 2
3a ^ 2b11 / 2
Answer:
3a ^ 2b11 / 2
option 3
User Evgeny Gorb
by
8.2k points

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